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d n a r e e n i g n E s m e t s y S l a p i c n i r P : s e l t i T b o J l e a h c i M c M . V y r r e J : l i a m e t e n . t s a o t @ c m v y r r e j t s i l a i c e p S g n i r e e n i g n E r e e n i g n E t s e T t h g i l F , t s e T t h g i l F , r e d a e L m a e T : s l l i k S b o J 8 2 3 0 - 6 9 2 - 7 1 8 : e n o h p d n a , t s e T , n o i t a r g e t n I , r e t i r W l a c i n h c e T 0 6 9 x o B . O . P . s i s y l a n A a t a D 7 1 3 8 8 M N , t f o r c d u o l C P O T K S E D a f o n o i t e l p m o c r e t f A : ) s r a e y 4 t s a l ( e l b i B _ t s i r G n u S d n a t s i r G n u S f o y t i s r e v i n U e h t m o r f ) t s e u q e r n o p u e l b a l i a v a ( e t a c i f i t r e C l a n o i s s e f o r P N O I T A C I L B U P n o s g n t i r w f o d n a s k o o b f o n o i t u b i r t s i d d n a n o i t a c i l b u p p o t k s e D e h t d e s a e r c n i , a n o z i r A ( s r a e y 6 t s a l e h t f o e t i s b e w a m o c . n a m e l b i b m o c e l b i b . w w w s a h k r o w e h t f o t s o m e l i h W . ) , r o l y a B , a t i h c a u O m o r f e l b i B f o s r u o h 0 4 r e v o e v a h I d n a t s e r e t n i e m i t e f i l ( e l b i B n o n e e b l a c i n h c e T , k o o b t x e t a n o d e d n e p x e n e e b s a h t r o f f e h c u m , ) y r a n i m e S t s e w h t u o S d n a , e v a t c O , t a M e e r F e k i l e r a w t f o s n e p o e e r f d n a b a l t a M h t i w s r e t u p m o C f o s n o i t a c i l p p A t a s t n e t n o C f o e l b a T e h t w e i v n a c u o Y . b i L h t a M J d n a , b a L i c S l m t h . C O T _ C A T / m o c . n a m e l b i b m o c e l b i b . w w w : m o c . n o z a m A n o e l b a l i a v a e r a s k o o b 3 . d n a , h t i a F g n i u n i t n o C f o y a W e h t , g n i v e i l e B r o f s t r o p e R e l b i B , s u s e J f o s d n e i r F e e r f d n a s k o o b e e e r f s u o r e m u N . y s e h p o r P d n a h a i m e r e J , s e v e i h T f o s n e D l a n o i t a N t a e n i l n o e l b a l i a v a e d a m e r a C A T r o f x i d n e p p A g n i k r o W s a h c u s l a i r e t a m h c r a e s e r m o c . n a m e l b i b m o c e l b i b . w w w e n i l n o d e r e f f o e s r u o c e c n e d n o p s e r r o c C A T a s i e r e h t o s l A . . C A T r o f C O T e h t s w o l l o f y l h g u o r h c i h w l i a m e y b d n a : y b E M U S E R . 1 g n i r e e n i g n E r e e n i g n E t s e T t h g i l F d n a , r e e n i g n E s m e t s y S l a p i c n i r P : s e l t i T b o J . r e e n i g n E s c i t s i g o L r o i n e S d n a , s t s i l a i c e p S . 2 , s n o i t a r e p o d n a , s p u t e s , s e p y t y r t e m e l e T , s t s y l a n A a t a D , r e d a e L m a e T : s l l i k S b o J - f o - e t a t s t n e r r u c d n a d e t a c i t s i h p o s f o n o i t a r g e t n i , t f a r c r i a d n a s e l i s s i m f o t s e t t h g i l f d l u o w s r a e y 4 t s a l e h t n i d e z i l i t u s l l i k s e h T . g n i t i r w l a c i n h c e t d n a , s m e t s y s t r a - e h t p o t k s e d d n a , t s i r G n u S r o f n o i t a r t s i n i m d a l i a m e d n a b e w , g n i t i r w e b y r a m i r p . n o i t u b i r t s i d d n a n o i t a c i l b u p . . . s t h g i l h g i H t s e T t h g i l F f o s i s o p o n y S . 1 d n a ) I B S ( r o t p e c r e t n I d e s a B a e S d n a V K E d n a ) I B G ( r o t p e c r e t n I d e s a B d n u o r G d e t s e t : } 5 0 0 2 - 0 0 0 2 { s d n a S e t i h W d n a , a k s a l A , e l l i v s t n u H , n o s c u T t a d a e h r a W c i t e n i K l a u s i V , B A L T A M h t i w s i s y l a n a a t a d d n a ; s c i n o r t l e T d n a , s c i t a m o r c A , 0 5 5 l a r o L h t i w . t s y l a n A a t a D d a e L d n a r e e n i g n E s m e t s y S l a p i c n i r P s a l e c x E d n a , c i s a B n a m u r T e h t n o d n a , d n a l y r a M r e v i R t n e x u t a P , r e t n e C t s e T l a v a N t a g n i k i V 3 - S . 2 g n i d n a L r e i r r a C c i t a m o t u A , r o t a l u m i s L I H / L I P h t i w d e t s e t : } 0 0 0 2 - 8 9 9 1 { r e i r r a C t f a r c r i A . . r e e n i g n E t s e T t h g i l F s a B A L T A M h t i w s i s y l a n a a t a d d n a ; n a m u r T d n a , y t i l i c a f t s e t d e t s e t : } 8 9 9 1 - 6 9 9 1 { a d a n a C , l e b a r i M t a s r e t p o c i l e h 0 3 4 d n a , 7 2 4 , 7 0 4 l e d o M l l e B . 3 t h g i l F s a A T F A C d n a l e c x E h t i w s i s y l a n a a t a d d n a ; t a e s t f e l g n i y l f d n a m o o r l o r t n o c m o r f . r e e n i g n E t s e T

Jerry V. McMichael Job Titles: Principal Systems Engineer and · Jerry V. McMichael Job Titles: Principal Systems Engineer and email: [email protected] Flight Test Engineer Engineering

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Page 1: Jerry V. McMichael Job Titles: Principal Systems Engineer and · Jerry V. McMichael Job Titles: Principal Systems Engineer and email: jerryvmc@toast.net Flight Test Engineer Engineering

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Page 2: Jerry V. McMichael Job Titles: Principal Systems Engineer and · Jerry V. McMichael Job Titles: Principal Systems Engineer and email: jerryvmc@toast.net Flight Test Engineer Engineering

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Page 3: Jerry V. McMichael Job Titles: Principal Systems Engineer and · Jerry V. McMichael Job Titles: Principal Systems Engineer and email: jerryvmc@toast.net Flight Test Engineer Engineering

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Page 4: Jerry V. McMichael Job Titles: Principal Systems Engineer and · Jerry V. McMichael Job Titles: Principal Systems Engineer and email: jerryvmc@toast.net Flight Test Engineer Engineering

dna ,stsylana ruof fo maet a detiurcer dna deweivretnI .snoitatneserp tnioprewoPetelpmoc eht dna( metsys yrtemelet 055 laroL eht rof esabatad a depoleved ew rehtegot.stpircs BALTAM dna eborp ,yranoitcid atad eborp a ,erawtfos noitatummoced ,)789F055 laroL dna 6.2 siraloS htiw noitatskroW tnempoleveD nuS a putes dna desahcruPstnemngissa tset neht dna tnempoleved maet dengissA .edom lautriv eht ni erawtfostnioPrewoP edaM .snalp tset fo tnempoleved eht ni detsissA .stroffe detanidro-oc dnani detapicitrap dna dednettA .lennosrep noehtyaR dna tnemnrevog eht ot snoitatneserpatad citats puteS .uguM tP dna egnaR elissiM sdnaS etihW ta sgniteem gninnalp etisffo.006MCP eht htiw snoitalumis yrtemelet cimanyd dna 055 laroL eht ni snoitalumis

MSAL eht etorw dna ,puorg gnikrow yrtemelet margorp MSAL eht htiw detanidrooCfo tnempoleved ngised dna gninnalp eht ni detapicitraP .nalP sisylanA ataD yrtemeleT789F eht fo egasu dna esabatad MSAL eht no maet sisylana deniarT .elissim 4-MS ehtno sisylana atad rof xinU siraloS desU .metsys gnissecorp dna noitcelloc atad yrtemeletBALTAM dna ,C ,eborP ni demmargorP .789F eht fo trap sa snoitatskroW nuS larevesatad MT demrofrep oslA .noitatskroW nuS eht no dna retupmoc TN swodniW a notset atad fo noitatneserp eht htiw dna bal noitceS ecnadiuG eht ni WK eht no sisylanadna ellivstnuH ta gnitset dnuorg gnirud maet tset VKE eht fo rebmem a oslA .sweiver

.aksalAdnalyraM ,reviR tnexutaP retneC tseT thgilF dnammoC snopaeW riA lavaN

,ytilibatiuS reirraC lavaN rof tnemyolpme tcartnoc shtnom 51 ,reenignE tseT thgilF3S eht no namurT eht no xaP ta stset thgilf dna reviR xaP ta stset dnuorg gnitcudnoccitamotuA ,tolipotuA )1( :retupmoc lortnoC thgilF wen a fo noitallatsni retfa gnikiVtnexutaP ta ytilicaf tset SLCA gnisu gnitset lortnoc thgilf dna ,metsyS gnidnaL reirraCdnuorg demrofreP .reirraC tfarcriA namurT .S yrraH SSU eht no dna retneC tseT reviRhguoroht dna,gnitset rotalumis pool eht ni toliP dna pooL eht ni erawdraH ,gnitseteht etorw dna 3S eht fo tset-er thgilf etelpmoc a demrofreP )2( ;gnitset reirrac dna thgilfni stolp edob ,BALTAM ni sisylana reiruoF :sisylanA ataD )3( ;sdrac tset dna nalp tsetni scimanydorea/swaL lortnoC laretaL dna lanidutignoL fo noitalumiS )4( ;LECXElortnoC thgilF eht fo ngised wen fo noitcnuf lortnoC ytilauQ .noitalumis BALTAMyalpsid rof sretemarap noitatnemurtsni fo puteS )5( ;)retupmoC ataD thgilF( retupmoCsnoitatS reenignE tcejorP eht desu dna no deniarT )6( dna ;noissimsnart atad dna

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Page 5: Jerry V. McMichael Job Titles: Principal Systems Engineer and · Jerry V. McMichael Job Titles: Principal Systems Engineer and email: jerryvmc@toast.net Flight Test Engineer Engineering

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Upfront textbook matter and the detailed Table of Contents pages are attached for you to chose the chapter in which you are interested.
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Technical Applications of Computers 1

CHAPTER 1 Data Analysis and Systems Integration 131-1: Simulation of Space Shuttle with MATLAB programming. 131-2: Numerical Analysis the Anchoring Discipline. 151-3: Excel and MATLAB for Data Analysis. 171-4: Large Modern Systems in the Evolution of the Digital Atomic Age. 181-5: Differential Equations and Physics Have Taken a Bad Rap. 201-6: Many Threads of Modern Technology Made the Technical Revolution. 231-7: Sharing of Learning Theory. 25

1-9: Drilling with MATLAB Basics. 27

CHAPTER 2 The Digital Atomic Age 292-1: Math led the technical world into the Digital with Linear Algebra. 312-2: Some Things from “Optimization in Simulation Studies”. 312-3: New on Minimization, Optimization, and Parameter Estimation? 332-4: The Place of Equations in the Digital Revolution. 332-3: Most Physical Phenomenon is Analog, Requring Coversion to Digital. 332-4: The Math of Motion is a Good Starting Place for the Technical. 342-5: Digital and Digital Computers to Technical Applications of Computers. 362-6: “Digital Signal Processing”. 372-7: MATLAB, Path, and Workspace. (D1) 392-8: Plotting, Subplots, Axis and Labels. (D2) 432-9: Polynomial Algebra and Polynomial Roots. (D3) 442-10: Graphics and Descriptive Stats. (D4) 47

CHAPTER 3 Systems Integration. 533-1: Cl, Cd, and Cm on seleted Aircraft. 543-2: Steady State Flight with Principles of Stability and Control. 573-3: We can use the Transfer Function in MATLAB before the Theory. 593-4: Trim equilibrim as far as pitch when all moments at the C.G. are zero. 613-5: Numerical Optimization and the Trim. m Program. 623-6: Intro to Numerical Optimization. 643-7: FMIN in MATLAB. 643-8: FEVAL in MATLAB. 663-9: The Steady-State Trim Algorithms. 683-10: Polynomials and Plotting (D1). 69

Table of Contents

1-8 Ups and Downs of UAV Testing by John Del Frate of NASA. 26

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Data Analysis

2 Technical Applications of Computers

3-11: Matrices and Plotting (D2). 71

CHAPTER 4 UAV’s and Other Flight Test Reports 754-1: The Altair/Predator B. 764-2: Recent UAV Flight Test Experience at NASA, 1998. 774-3: Flight Tests of the X-48B UAV between 2007 and 2008. 794-4: AFTI/F-16 Flight Test Results and Lessons Learned. 824-5: Aircraft Parameter Estimation. 874-6: Graphics and Plot (D1). 904-7: Flow control (D2). 904-8: Plotting Complex Numbers and Function Plot (D3). 904-9: Normal Distribution (D4). 91

CHAPTER 5 The Process 935-1: The 10 step Process of this book. 935-2: The 10 step Process of Aerospace. 945-3: The Process of Learning: ILS. 955-4: Historical PROCESS of The Digital Atomic Age. 965-5: Math led the technical world into the Digital with Linear Algebra. 985-6: The Place of Mathematical Equations in the Digital Revolution. 985-7: Most Physical Phenomenon is Analog, Requring Coversion to Digital. 995-8: The Math of Motion is a Good Starting Place for the Technical. 995-9: Digital and Digital Computers & Applications of Computers. 995-10: Digital Signal Processing. 1005-11: Evolution in Math Techniques for Engineering Applications. 1025-12: Software, Firmware, and Digital Math. 1025-13: The Process in CMMI. 1035-14: The Process in “Embedded Systems Architecture”. 1035-15: Global Hawk Unveiled the Process at work in UAVs. 1045-16: Files/Directories, Handling Data, & External Programs (D1). 1065-17: Fourier Transform (D2). 1065-18: Plotting Polynomials with “polyval” (D3). 1065-19: Matrices of Data and Plotting (D4). 106

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Technical Applications of Computers 3

Data Analysis

CHAPTER 6 Parameters and Data Analysis. 1076-1: Practical Aircraft Parameter Estimation. 1096-2: List of Parameters. 1116-3: Approach of NASA Report # NASA TM-88281. 1116-4: Modern Minimization {Curve Fitting} Techniques. 1136-5: Cost Function, J or PI, for a Transport Aircraft. 1156-6. Basic Aircraft Parameters and Equations. 1166-7: The Cost Function, J. 1176-8: Cost Function in Model Methology of Operations Research. 1176-9: “Fminsearch” of MATLAB, Nelder and Mead Simplex Algorithm. 1176-10: Place of the Cost Function in Parametric Estimation. 1176-11: MATLAB Program for Aircraft Trim plus. 1176-12: Model Differencing Tool (D) 117

CHAPTER 7 Systems and Parameters. 1197-1: Ways to Model Linear Systems: State-Space and Transfer Function. 1217-2: Some history of State Space and the Transfer Function. 1237-3: Large Scale Digital Computer as Catalyst to Digital Atomic Age. 1247-4: The notions of State and Space. 1257-5: Linear Systems. 1267-6 Background for Cl, Cd, and Cm. 1277-7: Coefficients from Flight Test versus Mach and Altitude. 1287-8: From Aerodynamic Coefficients to Aerodynamic Derivatives. 1287-9: Plot of Moment Coefficient Curve with a Negative Slope. 1307-10: Aerodynamic Derivatives Simply Mean the Use of Partial DEs. 1317-11: Questions About Table 1 on Lift, Drag, and Moments. 1317-12: Working with the Pendulum System in MATLAB. 1327-13: Data In/Out, Printing, and Exporting Figures (D1). 1327-14: Text in Graphics, Symbols and Greek Letters (D2). 1327-15: Low Pass Filter and Log Plots (D3). 1327-16:Trend Analysis (D4). 132

CHAPTER 8 Programming with MATLAB. 1338-1. Measurement of the Damping Roll (NASA Dryden). 1338-2: Study of Longitudinal Dyanamic Stability in Flight. 1348-3: Files/Directories, Handling Data, & External Programs (D1). 134

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Data Analysis

4 Technical Applications of Computers

8-4: Fourier Transform (D2). 1348-5: Plotting Polynomials with “polyval” (D3). 1348-6: Matrices of Data and Plotting (D4). 1348-7: Programming Simulation of a Transport Aircraft. 1348-8: The Use of Functions in MATLAB programming. 1368-9: The Transport Aircraft Simulation in C&S. {Trim.m Program} 1388-10: Examples of “cost function” in CONTROL AND SIMULATION. 1418-11: Programming Input/Output in MATLAB. 1458-12: Relational and Logical Operators. 1458-13: Looping in MATLAB. 1468-14: Control Flow Statements in MATLAB programming. 1468-15: If-Else-If Statement in Programming. 1468-16: Using Loops in Programming Missiles. 1468-17: Function for [Mach,Qbar] = ADC(VT,H). 1468-18: Program 8-1 to Calculate State Derivative Vector for Transport plane. 146

CHAPTER 9 Programming Optimization. 1479-1: Aircraft State and Parameter Identification. 1479-2: A Good Place to Introduce the Wing Standards of NACA. 1489-3: The three types of Numerical Optimization are repeated here: 1489-1: Zero routines in Optimization. 1499-2: MATLAB calls it “Optimization”. 1509-3: Optimization in MATHEMATICA. 1529-4: Optimization in the Excel Data Analysis ToolPak. 1549-5: Optimization in MINITAB. 1549-6: “Cost Function” in Mathematica. 1549-7: Cost Function is Often Called Performance Index. 1559-8: Two Experts on Optimization and Parameter Estimation. 155 156

CHAPTER 10 System ID 15710-1. Basic Aircraft Parameters and Equations. 15810-2: The Cost Function, J. 15910-3: Cost Function in Model Methology of Operations Research. 15910-4: “Fminsearch” of MATLAB, Nelder and Mead Simplex Algorithm. 15910-5: Place of the Cost Function in Parametric Estimation. 159

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Technical Applications of Computers 5

Data Analysis

10-6: MATLAB Program for Aircraft Trim plus. 15910-7: Modeling, Parameter Estimation, and System Identification? 15910-8: Statistics Toolbox of MATLAB versus Data Analysis ToolPak of Excel. 15910-14: Model Differencing Tool (D). 160

CHAPTER 11 Automatic Control (holder) 16110-1. Basic Aircraft Parameters and Equations. 16210-2: The Cost Function, J. 16310-3: Cost Function in Model Methology of Operations Research. 16310-4: “Fminsearch” of MATLAB, Nelder and Mead Simplex Algorithm. 16310-5: Place of the Cost Function in Parametric Estimation. 16310-6: MATLAB Program for Aircraft Trim plus. 16310-7: Modeling, Parameter Estimation, and System Identification? 16310-8: Statistics Toolbox of MATLAB versus Data Analysis ToolPak of Excel. 16310-14: Model Differencing Tool (D). 164

CHAPTER 12 Integrated Electronics: Circuits and Systems. 16512-1: The Transfer Function makes this Evolution Process Evident. 16612-2: Modeling of Spring-Mass System and an LCR electronic Circuit. 16612-3: The PIDs, PD, and PI of today understandable with Circuits. 16612-4: Large Part of Digital Signal Processing is Circuits called Filters. 16712-5: From Circuits to LaPlace to Transfer Function. 16712-6: Select Electronic Circuits into Transfer Functions and Analysis. 16712-7: MATLAB for a “Gravity” function. 16712-8: MATLAB uses a lot of built in functions like “mean”. 16812-9: MATLAB Built-in Functions are in C:\MATLAB\toolbox\matlab\.. 17012-9: The Quadratic Equation function script with MATLAB. 17112-10: Strings and “feval” (D2). 17112-11: Data Markers and Line Types (D3). 17212-12: Linear Regression and Curve Fitting (D4). 172

CHAPTER 13 Integration. 17313-1: Programming in MATLAB. 17313-2: Programming Weather Data. 17413-3: Some More Work with Input/Output. 174

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Data Analysis

6 Technical Applications of Computers

13-4: Input/Output in Aircraft Time-History Simulation. 17813-5: Programming the NLSIM.m for Aircraft time-histor simulation. 18013-6: Methods of Aircraft State and Parameer Identification. 18313-7: Measurement of the Damping Roll. 18313-8: Study of Longitudinal Dyanamic Stability in Flight. 18413-9: Creating Graphical User Interfaces in MATLAB (D1). 18413-10: Guide for Drawing GUIs and “help unitools” (D2). 18413-11: Function Discovery (D3). 18413-12: Fourier Series (D4). 18413-13: Arrays, Matrices, Vectors, and Data Types (D5). 184

CHAPTER 14 Matrix Manipulations. 19114-1: Differential Equations and Matrix Manipulations. 19114-2: Matrix Manipulations from Raytheon Training. 19214-3: Matrix Manipulations from MATLAB training and books. 19214-4: Linear Algebra and Vector Calculus from Engineering Math and MATLAB. 19214-5: The Applied Physics of Practical Differential Equations and Matrices. 19214-6: Equations of Electrical Circuits like Equations of Motion. 19614-7: Equations of Motion are Differential Equations of Matrix Manipulations. 19814-8: More Programming and Vectorized Computations (D1). 19914-9: Another Drill on Saving and Loading Data in Other Formats (D2). 20014-10: Input, Eval, Feval, Debugging, and Profiling (D3). 20014-11: Subplots, Double Axis, and Labels (D4). 20014-12: Progressing on Finess of Plots (D5). 20014-13: Filters (D6). 200

CHAPTER 15 Applied Physics and Electronics. 20115-1: MATLAB and Simulink. 20115-2: Laplace Transform and Transfer Function. 20215-3: More RC Functional Networks with their TF(s) Equivalency. 20515-4: Programming the Motion of the Pendulum into MATLAB. 20515-5: RLC Circuit of Electricty also deals with physical motion. 20615-6: The TF to solve Motion Problems of an F-16 Accelerometr. 20615-7: The Spring Mass System Measures Acceleration of the F-16. 20815-8: Continuous Systems and Model for Bungee Jumping. 21115-9: Electromagnetic Spectrum, Microwaves, and Radar. 211

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Technical Applications of Computers 7

Data Analysis

15-10: Load Line Analysis of an Electric Circuit (D1). 21115-11: Time Series and Autocorrelaton (D2). 211

CHAPTER 16 From DEs to the Transfer Functions. 21316-1: Conversion of the DE to a Transfer Function Can be Done Directly. 21416-2: Applications of the Transfer Function. 21516-3: The Transfer Function. 21716-4: LaPlace Transform, parameters in s. 21716-5: State-Space Variable Equations. 21816-6: Solution of Second Order DE by State-Space. 22016-6: Concepts/Techniques Applied to the Electric Circuit. 22116-7: Program 5-1, MATLAB for the RLC Circuit of Figure 6-1. 22316-8: Put MATLAB to work for you! 22416-9: Damping and Natural Frequency with the Transfer Function. 22416-10: Transfer Function and State-Space. 22416-11: Fun Applications of TF to F-14 and F-16. 224

CHAPTER 17 MATLAB and Simulink. 23317-1: Blocks and Models of Simulink. 23317-2: Laplace Transform and Transfer Function. 23517-3: More RC Functional Networks with their TF(s) Equivalency. 23717-4 The Pendulum, Programmed and Simulated with Simulink. 23717-5 RLC Circuit of Electricty also deals with physical motion. 23917-6: The TF to solve Motion Problems of an F-16 Accelerometr. 23917-7 The Spring Mass System Measures Acceleration of the F-16. 23917-8: Continuous Systems and Model for Bungee Jumping. 24317-9: More Programming and Vectorized Computations (D1). 24317-10: Data Analysis. 24317-11: Another Drill on Saving and Loading Data in Other Formats (D2). 24317-12: Load Line Analysis of an Electric Circuit (D3). 24317-13: Time Series and Autocorrelaton (D4). 243

CHAPTER 18 Applications of The Transfer Function. 24518-1: The Boeing Aircraft Plant. 24518-2: What we need is some sort of Controller, An FCC. 246

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Data Analysis

8 Technical Applications of Computers

18-3: A Kp Controller. 24718-4: A PD or Pd Controller. 24818-5: The PID Controller. 24818-6: Simulation with Simulink (Flight of a Mission). 24818-7: Data Analysis of the Test Mission. 24818-8: Computation and Plotting of a Least-Squares Polynomial (D1). 24818-9: Numerical Evaluation of a Polynomial (D1). 248

CHAPTER 19 Equations of Flight 25719-1: Practical Equations of Motion for the Longitudinal Axis. 25719-2: We must Derive the Coefficients of Lift, Drag, and Moments. 26019-3: Numbers into the Equations of Motion. 26019-4: Some Equations Necessary for CL and CD calculations. 26319-5: Parameter Estimation and Modeling Save Our Hide. 26519-6: FS&AC summarize Equations of Motion in 5 separate sets. 26519-7: Steady State Trim Program and the State Space Concept. 26619-8: A Definition of Steady State Flight. 26619-9: Life, Drag, and Moment Coefficients. 26719-10: Lift, Drag, and Moment Coefficients in NASA reports. 26819-11: Power for Steady State Flight. 26819-12: Flight Mechanics. 268

CHAPTER 20 Numerical Analysis 27720-1: POLYFIT and POLYVAL on CD versus altitude Curve Fit. 27720-2: Three Dimensinal Plot of CD versus Altitude and Mach Number. 27920-3: Three Dimensional Plot with Meshgrid. 27920-4. Aerodynamic Derivatives are simple Partial Differential Equations. 27920-5: Interpolation of F-16 Coefficients from Tables. 27920-6: Interpolation of the Boeing Longitudinal and Lateral Aerodynamic Data. 27920-7: More Integration for the Text. 27920-8: Must Have Routines to Continue on in this book. 27920-9: The cost function, J or PI, that we must Minimize. 28020-10: Numbers and the Newton-Raphson method. 28220-11: Interative Solution in Linear Algebra and the Jacobi. 28320-13: Error Analysis. 28520-14: Data Analysis. 285

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Technical Applications of Computers 9

Data Analysis

1. Integral Under a Curve by the Simpson Method. 285 2. Numerical Analysis with the Newton-Rapson method. 285 3. The Taylor Series Polynomial. 285 4. The LaPlace Transform. 286

CHAPTER 21 Parameter Determination (Selection). 28921-1: Parameter Determination (Selection). 28921-2: Aircraft Motion and Control Variables. 29121-3: Combining Aircraft Parameters with Non-dimensional Coefficients. 29221-4: Categories of Coefficients by Aircraft Motion. 29221-5: The DATCOM User’s Manual and Computer Software (Digital Datcom). 29321-6: Parameter Coefficients. 29421-7: Inputs to the Digital Datcom Computer Program. 29521-8: Outputs. 29521-9: Output Sheet for Digital Datcom from the User’s Manual. 29721-10: DATCOM on the Boeing 737-100. 29821-11: Motion and Analysis. 298 1. Stability and Control. 298 2. Center of Gravity and Neutral Point. 298 3. Vtrim and Static Longitudinal Stability. 298 4. A GENERIC TRIM Program. 298 5. The Bulirsch-Stoer Polynomial Interpolaton. 298 6. Polyfit Finds Coefficients of the Polynomial. 298 7. Newton’s Raphson Method of Numerical Analysis. 298

CHAPTER 22 Missiles, Trajectories, and Guidance 30122-1: A Missile Program and Data Analysis (Flight Mission #22-1). 30122-2: What the Table Looks Like. 30622-3: Error Analysis of Calculated Pressure Vs Standard. 30822-4: It is always easier to Analyze Data or A Routine with Plots. 30922-5: Cleaning Up the Plot. 30922-6: Motion and Analysis. 309 2. A Linearization Program. 30922-7: Introduction to Handle Graphics (D1). 31022-8: GUIs (D2) 31022-9: Stem, Stairs, and Bar Plots (D3). 310

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Data Analysis

10 Technical Applications of Computers

22-10: Time Series (D4). 310

CHAPTER 23 Telemetry Data Analysis 31123-1: Range and Airborne Instrumentation. 31123-2: IRIG. 31223-3: Common Airborne Instrumentation System (CAIS). 31223-4: Motion and Analysis. 31223-6: Least Squares Approximation. 31523-7: Fourier Methods such as FFT (Fast Fourier Transform). 31523-8: Numerical Differentiation and Integration. 31523-9: Missile Test Mission #4, Data Analysis, and Test Report. 315

CHAPTER 24 Modern Automatic Control 31724-1: The Goal of Automatic Control is Stability of Flight. 31724-2: Longitudinal Stability in Flight Test. 31824-3: Flight Controls Enhanced by the Digital Revolution. 32024-4: A Working Knowledge of MATLAB (Essentials Review of MATLAB). 32124-5: Modeling with MATLAB. 32224-6: The Famous PID Controller. 32224-7: MATLAB for Root Locus. 32324-8: Frequency Response with the Bode and Nyquist Plots. 32324-9: State-Space with MATLAB and Simulink. 32424-10: Controller of a Digital Computer. 32424-11: Review of Simulink Essential Basics for Automatic Control. 32524-12: Model Based Design with Simulink. 325 325

CHAPTER 25 The Flight Control Computer (FCC). 32725-1: FBW. 32725-2: The Pitch Actuator Simulink Model of the F-14. 32825-3: Modified LTV Corsair actually first on Fly By Wire. 32925-4: Simultaneous Testing on AFTI and the X36 at NASA Dryden. 32925-5: The FCC of the AFTI F-16. 32925-6: F-16 Simulation in Straight and Level Configuration. 32925-7: Flight Control Computer. 329

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Data Analysis

25-8: FCC as Classic Feedback Control System. 32925-9: Analogies Between FCCs and the G-H Block Diagram. 33125-10: Negative Feedback Control. 33225-11: Transfer Functions of the AFTI FCC. 33225-12: Feedback Control with an Inner Loop. 332

CHAPTER 26 Predicted versus Measured. 33326-1: Dr. R.A. Millikan’s, the Nobel Prize winning physcist, “ultimate truth”. 33426-2: Proceedure of “Parameter Estimation”. 33526-3: NASA Test Reports Show a Trend of 1 Calculated and 3 Measured. 33526-4: Predicted versus Measured in Physics Lab Experiments. 33526-5: Motion and Analysis. 33626-6: Program to Calculate Cl, Cd, and Cm. 33626-7: Analysis of Flight Data from the AFTI/F-16. 33626-8: MATLAB Program to Calculate Aerodynamic Derivatives. 33826-9: MATLAB Program to Calculate Cl, Cd, and Cm. 33826-10: Methods for Ordinary Differential Equations. 33826-11: The Saving and Loading of Data. 33826-12: Plotting for Graphical Visualization. 338

CHAPTER 27 F-16 Simulation with FORTRAN and MATLAB 33927-1: Some Data Analysis of A Test on the F-14. 34027-2: Stability Analysis of This Flight Control System. 34027-3: The Actuator. 34127-4: Dynamic Characteristics of the Aircraft. 34227-5: From FORTRAN to MATLAB. 34327-6: Data and Data Analysis of F-16 Flight Test Mission #3. 34427-7: Variables, ADC, Engine, and Coefficients in Tables. 344 1. State and Control Variables. 344 2. Air Data Computer and Engine. 344 3. Look up Tables for Aerodynamic Derivatives. 34427-8: Derivatives, State and Force Equations. 344 1. Damping Derivatives. 344 2. More on State Equations. 344 3. Force Equations. 34427-9: Kinematics. 344

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12 Technical Applications of Computers

27-10: Moments. 34427-11: Navigation and Outputs. 34427-12: Functional Simulation Program for the F-16. 34427-13: Simulations at NASA. 34527-14: Simulator Study of F-16 Stall Characteristics. 345 350

CHAPTER 28 Flight Tests and the Process. 35128-1: Prime Differential Equation and the Process. 35228-2: Process Step #1: The Problem to Calculate and Measure Stability. 35328-3: Step #2, A Sketch of the Problem with Parameters. 35428-4: Step #3, Equations to Predict Plane Flight Characteristics. 35428-5: Step #4, Program the Equations into MATLAB. 35528-6: Step #5, View and Analyze the Plots in MATLAB. 35528-7: Step #6, Simulate in MATLAB SIMULINK. 35628-8: Animation of Flight Test for Step #7. 35628-9: Flight Test (Step 8). 35628-10: Data Analysis (Step 9). 35628-11: Flight Test Report (Step 10). 35728-12: Motion and Analysis. 35728-13: Curve Fitting to Test Data. 35928-14: Airfoil Data. 359

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Jerry V McMichael

Copyright © 2012 Jerry V

McMichael All rights reserved.

Published online at

www.biblecombibleman.com

jerryvmc
Typewritten text
Technical Applications of Computers with Matlab, FreeMat, Octave and Scilab.
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DEDICATION

This book of TECHNICAL APPLICATIONS of Computers, along with the book "Who Is Jerry McMichael?", CHRONICLES OF AN RN, ENGINEER, PASTOR, AND ASSISTANT PROFESSOR, are both

dedicated to my great grandsons {preferably a second sweep of grandsons as "great" is so awesome}. Since I can not be there for

their (Graeson and Ryland Gentry) graduationout into the world, providing this world even makes it

that long before the Second Coming and END, they will need extras along with their generation for the challenge of the Falling Away.

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Technical Applications of Computers 1

CHAPTER 1 Data Analysis and Systems Integration 131-1: Simulation of Space Shuttle with MATLAB programming. 131-2: Numerical Analysis the Anchoring Discipline. 151-3: Excel and MATLAB for Data Analysis. 171-4: Large Modern Systems in the Evolution of the Digital Atomic Age. 181-5: Differential Equations and Physics Have Taken a Bad Rap. 201-6: Many Threads of Modern Technology Made the Technical Revolution. 231-7: Sharing of Learning Theory. 25

1-9: Drilling with MATLAB Basics. 27

CHAPTER 2 The Digital Atomic Age 292-1: Math led the technical world into the Digital with Linear Algebra. 312-2: Some Things from “Optimization in Simulation Studies”. 312-3: New on Minimization, Optimization, and Parameter Estimation? 332-4: The Place of Equations in the Digital Revolution. 332-3: Most Physical Phenomenon is Analog, Requring Coversion to Digital. 332-4: The Math of Motion is a Good Starting Place for the Technical. 342-5: Digital and Digital Computers to Technical Applications of Computers. 362-6: “Digital Signal Processing”. 372-7: MATLAB, Path, and Workspace. (D1) 392-8: Plotting, Subplots, Axis and Labels. (D2) 432-9: Polynomial Algebra and Polynomial Roots. (D3) 442-10: Graphics and Descriptive Stats. (D4) 47

CHAPTER 3 Systems Integration. 533-1: Cl, Cd, and Cm on seleted Aircraft. 543-2: Steady State Flight with Principles of Stability and Control. 573-3: We can use the Transfer Function in MATLAB before the Theory. 593-4: Trim equilibrim as far as pitch when all moments at the C.G. are zero. 613-5: Numerical Optimization and the Trim. m Program. 623-6: Intro to Numerical Optimization. 643-7: FMIN in MATLAB. 643-8: FEVAL in MATLAB. 663-9: The Steady-State Trim Algorithms. 683-10: Polynomials and Plotting (D1). 69

Table of Contents

1-8 Ups and Downs of UAV Testing by John Del Frate of NASA. 26

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3-11: Matrices and Plotting (D2). 71

CHAPTER 4 UAV’s and Other Flight Test Reports 754-1: The Altair/Predator B. 764-2: Recent UAV Flight Test Experience at NASA, 1998. 774-3: Flight Tests of the X-48B UAV between 2007 and 2008. 794-4: AFTI/F-16 Flight Test Results and Lessons Learned. 824-5: Aircraft Parameter Estimation. 874-6: Graphics and Plot (D1). 904-7: Flow control (D2). 904-8: Plotting Complex Numbers and Function Plot (D3). 904-9: Normal Distribution (D4). 91

CHAPTER 5 The Process 935-1: The 10 step Process of this book. 935-2: The 10 step Process of Aerospace. 945-3: The Process of Learning: ILS. 955-4: Historical PROCESS of The Digital Atomic Age. 965-5: Math led the technical world into the Digital with Linear Algebra. 985-6: The Place of Mathematical Equations in the Digital Revolution. 985-7: Most Physical Phenomenon is Analog, Requring Coversion to Digital. 995-8: The Math of Motion is a Good Starting Place for the Technical. 995-9: Digital and Digital Computers & Applications of Computers. 995-10: Digital Signal Processing. 1005-11: Evolution in Math Techniques for Engineering Applications. 1025-12: Software, Firmware, and Digital Math. 1025-13: The Process in CMMI. 1035-14: The Process in “Embedded Systems Architecture”. 1035-15: Global Hawk Unveiled the Process at work in UAVs. 1045-16: Files/Directories, Handling Data, & External Programs (D1). 1065-17: Fourier Transform (D2). 1065-18: Plotting Polynomials with “polyval” (D3). 1065-19: Matrices of Data and Plotting (D4). 106

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Data Analysis

CHAPTER 6 Parameters and Data Analysis. 1076-1: Practical Aircraft Parameter Estimation. 1096-2: List of Parameters. 1116-3: Approach of NASA Report # NASA TM-88281. 1116-4: Modern Minimization {Curve Fitting} Techniques. 1136-5: Cost Function, J or PI, for a Transport Aircraft. 1156-6. Basic Aircraft Parameters and Equations. 1166-7: The Cost Function, J. 1176-8: Cost Function in Model Methology of Operations Research. 1176-9: “Fminsearch” of MATLAB, Nelder and Mead Simplex Algorithm. 1176-10: Place of the Cost Function in Parametric Estimation. 1176-11: MATLAB Program for Aircraft Trim plus. 1176-12: Model Differencing Tool (D) 117

CHAPTER 7 Systems and Parameters. 1197-1: Ways to Model Linear Systems: State-Space and Transfer Function. 1217-2: Some history of State Space and the Transfer Function. 1237-3: Large Scale Digital Computer as Catalyst to Digital Atomic Age. 1247-4: The notions of State and Space. 1257-5: Linear Systems. 1267-6 Background for Cl, Cd, and Cm. 1277-7: Coefficients from Flight Test versus Mach and Altitude. 1287-8: From Aerodynamic Coefficients to Aerodynamic Derivatives. 1287-9: Plot of Moment Coefficient Curve with a Negative Slope. 1307-10: Aerodynamic Derivatives Simply Mean the Use of Partial DEs. 1317-11: Questions About Table 1 on Lift, Drag, and Moments. 1317-12: Working with the Pendulum System in MATLAB. 1327-13: Data In/Out, Printing, and Exporting Figures (D1). 1327-14: Text in Graphics, Symbols and Greek Letters (D2). 1327-15: Low Pass Filter and Log Plots (D3). 1327-16:Trend Analysis (D4). 132

CHAPTER 8 Programming with MATLAB. 1338-1. Measurement of the Damping Roll (NASA Dryden). 1338-2: Study of Longitudinal Dyanamic Stability in Flight. 1348-3: Files/Directories, Handling Data, & External Programs (D1). 134

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4 Technical Applications of Computers

8-4: Fourier Transform (D2). 1348-5: Plotting Polynomials with “polyval” (D3). 1348-6: Matrices of Data and Plotting (D4). 1348-7: Programming Simulation of a Transport Aircraft. 1348-8: The Use of Functions in MATLAB programming. 1368-9: The Transport Aircraft Simulation in C&S. {Trim.m Program} 1388-10: Examples of “cost function” in CONTROL AND SIMULATION. 1418-11: Programming Input/Output in MATLAB. 1458-12: Relational and Logical Operators. 1458-13: Looping in MATLAB. 1468-14: Control Flow Statements in MATLAB programming. 1468-15: If-Else-If Statement in Programming. 1468-16: Using Loops in Programming Missiles. 1468-17: Function for [Mach,Qbar] = ADC(VT,H). 1468-18: Program 8-1 to Calculate State Derivative Vector for Transport plane. 146

CHAPTER 9 Programming Optimization. 1479-1: Aircraft State and Parameter Identification. 1479-2: A Good Place to Introduce the Wing Standards of NACA. 1489-3: The three types of Numerical Optimization are repeated here: 1489-1: Zero routines in Optimization. 1499-2: MATLAB calls it “Optimization”. 1509-3: Optimization in MATHEMATICA. 1529-4: Optimization in the Excel Data Analysis ToolPak. 1549-5: Optimization in MINITAB. 1549-6: “Cost Function” in Mathematica. 1549-7: Cost Function is Often Called Performance Index. 1559-8: Two Experts on Optimization and Parameter Estimation. 155 156

CHAPTER 10 System ID 15710-1. Basic Aircraft Parameters and Equations. 15810-2: The Cost Function, J. 15910-3: Cost Function in Model Methology of Operations Research. 15910-4: “Fminsearch” of MATLAB, Nelder and Mead Simplex Algorithm. 15910-5: Place of the Cost Function in Parametric Estimation. 159

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Data Analysis

10-6: MATLAB Program for Aircraft Trim plus. 15910-7: Modeling, Parameter Estimation, and System Identification? 15910-8: Statistics Toolbox of MATLAB versus Data Analysis ToolPak of Excel. 15910-14: Model Differencing Tool (D). 160

CHAPTER 11 Automatic Control (holder) 16110-1. Basic Aircraft Parameters and Equations. 16210-2: The Cost Function, J. 16310-3: Cost Function in Model Methology of Operations Research. 16310-4: “Fminsearch” of MATLAB, Nelder and Mead Simplex Algorithm. 16310-5: Place of the Cost Function in Parametric Estimation. 16310-6: MATLAB Program for Aircraft Trim plus. 16310-7: Modeling, Parameter Estimation, and System Identification? 16310-8: Statistics Toolbox of MATLAB versus Data Analysis ToolPak of Excel. 16310-14: Model Differencing Tool (D). 164

CHAPTER 12 Integrated Electronics: Circuits and Systems. 16512-1: The Transfer Function makes this Evolution Process Evident. 16612-2: Modeling of Spring-Mass System and an LCR electronic Circuit. 16612-3: The PIDs, PD, and PI of today understandable with Circuits. 16612-4: Large Part of Digital Signal Processing is Circuits called Filters. 16712-5: From Circuits to LaPlace to Transfer Function. 16712-6: Select Electronic Circuits into Transfer Functions and Analysis. 16712-7: MATLAB for a “Gravity” function. 16712-8: MATLAB uses a lot of built in functions like “mean”. 16812-9: MATLAB Built-in Functions are in C:\MATLAB\toolbox\matlab\.. 17012-9: The Quadratic Equation function script with MATLAB. 17112-10: Strings and “feval” (D2). 17112-11: Data Markers and Line Types (D3). 17212-12: Linear Regression and Curve Fitting (D4). 172

CHAPTER 13 Integration. 17313-1: Programming in MATLAB. 17313-2: Programming Weather Data. 17413-3: Some More Work with Input/Output. 174

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6 Technical Applications of Computers

13-4: Input/Output in Aircraft Time-History Simulation. 17813-5: Programming the NLSIM.m for Aircraft time-histor simulation. 18013-6: Methods of Aircraft State and Parameer Identification. 18313-7: Measurement of the Damping Roll. 18313-8: Study of Longitudinal Dyanamic Stability in Flight. 18413-9: Creating Graphical User Interfaces in MATLAB (D1). 18413-10: Guide for Drawing GUIs and “help unitools” (D2). 18413-11: Function Discovery (D3). 18413-12: Fourier Series (D4). 18413-13: Arrays, Matrices, Vectors, and Data Types (D5). 184

CHAPTER 14 Matrix Manipulations. 19114-1: Differential Equations and Matrix Manipulations. 19114-2: Matrix Manipulations from Raytheon Training. 19214-3: Matrix Manipulations from MATLAB training and books. 19214-4: Linear Algebra and Vector Calculus from Engineering Math and MATLAB. 19214-5: The Applied Physics of Practical Differential Equations and Matrices. 19214-6: Equations of Electrical Circuits like Equations of Motion. 19614-7: Equations of Motion are Differential Equations of Matrix Manipulations. 19814-8: More Programming and Vectorized Computations (D1). 19914-9: Another Drill on Saving and Loading Data in Other Formats (D2). 20014-10: Input, Eval, Feval, Debugging, and Profiling (D3). 20014-11: Subplots, Double Axis, and Labels (D4). 20014-12: Progressing on Finess of Plots (D5). 20014-13: Filters (D6). 200

CHAPTER 15 Applied Physics and Electronics. 20115-1: MATLAB and Simulink. 20115-2: Laplace Transform and Transfer Function. 20215-3: More RC Functional Networks with their TF(s) Equivalency. 20515-4: Programming the Motion of the Pendulum into MATLAB. 20515-5: RLC Circuit of Electricty also deals with physical motion. 20615-6: The TF to solve Motion Problems of an F-16 Accelerometr. 20615-7: The Spring Mass System Measures Acceleration of the F-16. 20815-8: Continuous Systems and Model for Bungee Jumping. 21115-9: Electromagnetic Spectrum, Microwaves, and Radar. 211

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Data Analysis

15-10: Load Line Analysis of an Electric Circuit (D1). 21115-11: Time Series and Autocorrelaton (D2). 211

CHAPTER 16 From DEs to the Transfer Functions. 21316-1: Conversion of the DE to a Transfer Function Can be Done Directly. 21416-2: Applications of the Transfer Function. 21516-3: The Transfer Function. 21716-4: LaPlace Transform, parameters in s. 21716-5: State-Space Variable Equations. 21816-6: Solution of Second Order DE by State-Space. 22016-6: Concepts/Techniques Applied to the Electric Circuit. 22116-7: Program 5-1, MATLAB for the RLC Circuit of Figure 6-1. 22316-8: Put MATLAB to work for you! 22416-9: Damping and Natural Frequency with the Transfer Function. 22416-10: Transfer Function and State-Space. 22416-11: Fun Applications of TF to F-14 and F-16. 224

CHAPTER 17 MATLAB and Simulink. 23317-1: Blocks and Models of Simulink. 23317-2: Laplace Transform and Transfer Function. 23517-3: More RC Functional Networks with their TF(s) Equivalency. 23717-4 The Pendulum, Programmed and Simulated with Simulink. 23717-5 RLC Circuit of Electricty also deals with physical motion. 23917-6: The TF to solve Motion Problems of an F-16 Accelerometr. 23917-7 The Spring Mass System Measures Acceleration of the F-16. 23917-8: Continuous Systems and Model for Bungee Jumping. 24317-9: More Programming and Vectorized Computations (D1). 24317-10: Data Analysis. 24317-11: Another Drill on Saving and Loading Data in Other Formats (D2). 24317-12: Load Line Analysis of an Electric Circuit (D3). 24317-13: Time Series and Autocorrelaton (D4). 243

CHAPTER 18 Applications of The Transfer Function. 24518-1: The Boeing Aircraft Plant. 24518-2: What we need is some sort of Controller, An FCC. 246

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18-3: A Kp Controller. 24718-4: A PD or Pd Controller. 24818-5: The PID Controller. 24818-6: Simulation with Simulink (Flight of a Mission). 24818-7: Data Analysis of the Test Mission. 24818-8: Computation and Plotting of a Least-Squares Polynomial (D1). 24818-9: Numerical Evaluation of a Polynomial (D1). 248

CHAPTER 19 Equations of Flight 25719-1: Practical Equations of Motion for the Longitudinal Axis. 25719-2: We must Derive the Coefficients of Lift, Drag, and Moments. 26019-3: Numbers into the Equations of Motion. 26019-4: Some Equations Necessary for CL and CD calculations. 26319-5: Parameter Estimation and Modeling Save Our Hide. 26519-6: FS&AC summarize Equations of Motion in 5 separate sets. 26519-7: Steady State Trim Program and the State Space Concept. 26619-8: A Definition of Steady State Flight. 26619-9: Life, Drag, and Moment Coefficients. 26719-10: Lift, Drag, and Moment Coefficients in NASA reports. 26819-11: Power for Steady State Flight. 26819-12: Flight Mechanics. 268

CHAPTER 20 Numerical Analysis 27720-1: POLYFIT and POLYVAL on CD versus altitude Curve Fit. 27720-2: Three Dimensinal Plot of CD versus Altitude and Mach Number. 27920-3: Three Dimensional Plot with Meshgrid. 27920-4. Aerodynamic Derivatives are simple Partial Differential Equations. 27920-5: Interpolation of F-16 Coefficients from Tables. 27920-6: Interpolation of the Boeing Longitudinal and Lateral Aerodynamic Data. 27920-7: More Integration for the Text. 27920-8: Must Have Routines to Continue on in this book. 27920-9: The cost function, J or PI, that we must Minimize. 28020-10: Numbers and the Newton-Raphson method. 28220-11: Interative Solution in Linear Algebra and the Jacobi. 28320-13: Error Analysis. 28520-14: Data Analysis. 285

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Technical Applications of Computers 9

Data Analysis

1. Integral Under a Curve by the Simpson Method. 285 2. Numerical Analysis with the Newton-Rapson method. 285 3. The Taylor Series Polynomial. 285 4. The LaPlace Transform. 286

CHAPTER 21 Parameter Determination (Selection). 28921-1: Parameter Determination (Selection). 28921-2: Aircraft Motion and Control Variables. 29121-3: Combining Aircraft Parameters with Non-dimensional Coefficients. 29221-4: Categories of Coefficients by Aircraft Motion. 29221-5: The DATCOM User’s Manual and Computer Software (Digital Datcom). 29321-6: Parameter Coefficients. 29421-7: Inputs to the Digital Datcom Computer Program. 29521-8: Outputs. 29521-9: Output Sheet for Digital Datcom from the User’s Manual. 29721-10: DATCOM on the Boeing 737-100. 29821-11: Motion and Analysis. 298 1. Stability and Control. 298 2. Center of Gravity and Neutral Point. 298 3. Vtrim and Static Longitudinal Stability. 298 4. A GENERIC TRIM Program. 298 5. The Bulirsch-Stoer Polynomial Interpolaton. 298 6. Polyfit Finds Coefficients of the Polynomial. 298 7. Newton’s Raphson Method of Numerical Analysis. 298

CHAPTER 22 Missiles, Trajectories, and Guidance 30122-1: A Missile Program and Data Analysis (Flight Mission #22-1). 30122-2: What the Table Looks Like. 30622-3: Error Analysis of Calculated Pressure Vs Standard. 30822-4: It is always easier to Analyze Data or A Routine with Plots. 30922-5: Cleaning Up the Plot. 30922-6: Motion and Analysis. 309 2. A Linearization Program. 30922-7: Introduction to Handle Graphics (D1). 31022-8: GUIs (D2) 31022-9: Stem, Stairs, and Bar Plots (D3). 310

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22-10: Time Series (D4). 310

CHAPTER 23 Telemetry Data Analysis 31123-1: Range and Airborne Instrumentation. 31123-2: IRIG. 31223-3: Common Airborne Instrumentation System (CAIS). 31223-4: Motion and Analysis. 31223-6: Least Squares Approximation. 31523-7: Fourier Methods such as FFT (Fast Fourier Transform). 31523-8: Numerical Differentiation and Integration. 31523-9: Missile Test Mission #4, Data Analysis, and Test Report. 315

CHAPTER 24 Modern Automatic Control 31724-1: The Goal of Automatic Control is Stability of Flight. 31724-2: Longitudinal Stability in Flight Test. 31824-3: Flight Controls Enhanced by the Digital Revolution. 32024-4: A Working Knowledge of MATLAB (Essentials Review of MATLAB). 32124-5: Modeling with MATLAB. 32224-6: The Famous PID Controller. 32224-7: MATLAB for Root Locus. 32324-8: Frequency Response with the Bode and Nyquist Plots. 32324-9: State-Space with MATLAB and Simulink. 32424-10: Controller of a Digital Computer. 32424-11: Review of Simulink Essential Basics for Automatic Control. 32524-12: Model Based Design with Simulink. 325 325

CHAPTER 25 The Flight Control Computer (FCC). 32725-1: FBW. 32725-2: The Pitch Actuator Simulink Model of the F-14. 32825-3: Modified LTV Corsair actually first on Fly By Wire. 32925-4: Simultaneous Testing on AFTI and the X36 at NASA Dryden. 32925-5: The FCC of the AFTI F-16. 32925-6: F-16 Simulation in Straight and Level Configuration. 32925-7: Flight Control Computer. 329

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Technical Applications of Computers 11

Data Analysis

25-8: FCC as Classic Feedback Control System. 32925-9: Analogies Between FCCs and the G-H Block Diagram. 33125-10: Negative Feedback Control. 33225-11: Transfer Functions of the AFTI FCC. 33225-12: Feedback Control with an Inner Loop. 332

CHAPTER 26 Predicted versus Measured. 33326-1: Dr. R.A. Millikan’s, the Nobel Prize winning physcist, “ultimate truth”. 33426-2: Proceedure of “Parameter Estimation”. 33526-3: NASA Test Reports Show a Trend of 1 Calculated and 3 Measured. 33526-4: Predicted versus Measured in Physics Lab Experiments. 33526-5: Motion and Analysis. 33626-6: Program to Calculate Cl, Cd, and Cm. 33626-7: Analysis of Flight Data from the AFTI/F-16. 33626-8: MATLAB Program to Calculate Aerodynamic Derivatives. 33826-9: MATLAB Program to Calculate Cl, Cd, and Cm. 33826-10: Methods for Ordinary Differential Equations. 33826-11: The Saving and Loading of Data. 33826-12: Plotting for Graphical Visualization. 338

CHAPTER 27 F-16 Simulation with FORTRAN and MATLAB 33927-1: Some Data Analysis of A Test on the F-14. 34027-2: Stability Analysis of This Flight Control System. 34027-3: The Actuator. 34127-4: Dynamic Characteristics of the Aircraft. 34227-5: From FORTRAN to MATLAB. 34327-6: Data and Data Analysis of F-16 Flight Test Mission #3. 34427-7: Variables, ADC, Engine, and Coefficients in Tables. 344 1. State and Control Variables. 344 2. Air Data Computer and Engine. 344 3. Look up Tables for Aerodynamic Derivatives. 34427-8: Derivatives, State and Force Equations. 344 1. Damping Derivatives. 344 2. More on State Equations. 344 3. Force Equations. 34427-9: Kinematics. 344

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27-10: Moments. 34427-11: Navigation and Outputs. 34427-12: Functional Simulation Program for the F-16. 34427-13: Simulations at NASA. 34527-14: Simulator Study of F-16 Stall Characteristics. 345 350

CHAPTER 28 Flight Tests and the Process. 35128-1: Prime Differential Equation and the Process. 35228-2: Process Step #1: The Problem to Calculate and Measure Stability. 35328-3: Step #2, A Sketch of the Problem with Parameters. 35428-4: Step #3, Equations to Predict Plane Flight Characteristics. 35428-5: Step #4, Program the Equations into MATLAB. 35528-6: Step #5, View and Analyze the Plots in MATLAB. 35528-7: Step #6, Simulate in MATLAB SIMULINK. 35628-8: Animation of Flight Test for Step #7. 35628-9: Flight Test (Step 8). 35628-10: Data Analysis (Step 9). 35628-11: Flight Test Report (Step 10). 35728-12: Motion and Analysis. 35728-13: Curve Fitting to Test Data. 35928-14: Airfoil Data. 359